Adding Fractions w/Explanations

1/3 + 2/3

3/1 = 1

1/4 + 1/4 + 1/4

3/4

1/4 + 2/4

3/4 (since there is already a "common denominator," you can simply add the numerators together: 1 +2 = 3)

1/3 + 1/5

8/15 (To find a common denominator, multiply 3x5 to get 15. 1/3 x 5/5 = 5/15. 1/5 x 3/3 = 3/15. Add the numerators now: 5+3=8. There's your answer: 8/15.

3/8 + 5/8

8/8 or 1. (Since there is already a common denominator, just add the numerators: 3+5=8.)

3/9 + 5/9

8/9 (since there is already a "common denominator," you can simply add the numerators together: 3 +5 = 8)

7/8 + 9/8

2 (since the denominators are the same [a "common denominator], add the numerators: 7+9=16. 16/8 = 2)

6/7 + 2/28

13/14 (work on the first fraction [6/7] separately first and multiply its numbers so the denominator is 28: 6/7 x 4/4 becomes 24/28; then add the numerators together: 24 + 2 = 26; 26/28 can be reduced to 13/14 if you divide by two.)

1/2 + 3/10

4/5 (work on the first fraction [1/2] separately first and multiply its numbers so the denominator is 10: 1/2 x 5/5 becomes 8/10; then add the numerators together: 5 + 3 = 8; 8/10 is 4/5.)

2/8 + 1/4

4/8, which can be reduced to 1/2.

3/5 + 4/10

10/10, which is 1. (work on the first fraction [3/5] separately first and multiply its numbers so the denominator is 10: 3/5 x 2/2 becomes 6/10; then add the numerators together: 6 + 4 = 10; 10/10 can be reduced to 1.)

2/3 + 1/4

11/12 (work on each fraction separately first and multiply the numbers so the denominator is 12. 2/3 x 4/4 becomes 8/12; 1/4 x 3/3 becomes 3/12; then add the numerators together: 8 + 3 = 11)

8/9 + 1/3

11/9, or 1 2/9. (work on the second fraction [1/3] separately first and multiply its numbers so the denominator is 9: 1/3 x 3/3 becomes 3/9; then add the numerators together: 8 + 3 = 11)

11/17 + 5/17

16/17 (since the denominators are already the same, you can simply add the numerators together: 11 +5 = 16)

5/8 + 1/2

your common denomintaor should be 16. 5/8 becomes 10/16. 1/2 becomes 8/16. When you add them together you get 18/16 = 1 2/16 which can be simplified to 1 and 1/8.